Bounds on the volume fraction of the two-phase shallow shell using one measurement
Analysis of PDEs
2012-04-24 v1
Abstract
We study the size estimate problem for the two-phase shallow shell equations in this paper. Our aim is to derive bounds on the volume fraction of each phase assuming that the material properties of the two phases are given. The approach in this paper is based on the translation method. One of the key steps is to connect the shallow shell equations to the thin plate equation.
Keywords
Cite
@article{arxiv.1204.4962,
title = {Bounds on the volume fraction of the two-phase shallow shell using one measurement},
author = {Hyeonbae Kang and Graeme W. Milton and Jenn-Nan Wang},
journal= {arXiv preprint arXiv:1204.4962},
year = {2012}
}